{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "806c83f4",
   "metadata": {},
   "source": [
    "## 信号内插恢复"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9e95f16d",
   "metadata": {},
   "source": [
    "- 取样内插公式"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "52fa4df8",
   "metadata": {},
   "source": [
    "  当满足取样定理时，从频域看，信号最高频率不超过奈奎斯特频率，即\n",
    "$$X_a(j\\Omega)=\\begin{cases}\n",
    "X_a(j\\Omega),&|\\Omega|<\\Omega_s/2\\\\0,&|\\Omega|\\geq\\Omega_s/2\n",
    "\\end{cases}\n",
    "$$\n",
    "则理想取样后的频谱就不会产生混叠。取样内插公式表明了只要满足取样率高于两倍信号最高频率，连续时间函数 就可用它的取样值 来表达而不损失任何信息。"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a3702c75",
   "metadata": {},
   "source": [
    "示例：对信号$x_a(t)=sin(2\\pi\\times150t)+sin(2\\pi\\times325t)+sin(2\\pi\\times400t)$ 进行$f_{s1}=680Hz$,$f_{s2}=900Hz$,$f_{s3}=1000Hz$的采样，并用内插公式进行恢复，画出恢复后的信号时域波形。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "d2262040",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np;from math import *\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "#define signal function\n",
    "def signfunc(f): \n",
    "    f1 = 150;f2 = 325;f3 = 400\n",
    "    t = np.arange(-0.02,0.02,1/f)\n",
    "    return t,np.sin(2*pi*f1*t)+np.sin(2*pi*f2*t)+np.sin(2*pi*f3*t)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "347a9a2a",
   "metadata": {},
   "outputs": [],
   "source": [
    "#orignal signal\n",
    "fa = 100000\n",
    "ta,xa = signfunc(fa)\n",
    "\n",
    "#Sampling the original signal\n",
    "fs1 = 680;fs2 = 900;fs3 = 1000\n",
    "t1,x_hat1 = signfunc(fs1);t2,x_hat2 = signfunc(fs2);t3,x_hat3 = signfunc(fs3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "5ab7fb62",
   "metadata": {},
   "outputs": [],
   "source": [
    "#Interpolation recovery function\n",
    "def interp_rec(samp_sign,t,ts,fs): \n",
    "    t = t-1e-10 #prevent denominator from being 0\n",
    "    t = t.reshape(1,-1);ts = ts.reshape(-1,1)\n",
    "    th = t-ts\n",
    "    hn = np.sin(pi*fs*th)/(pi*fs*th)\n",
    "    out = np.dot(samp_sign,hn)\n",
    "    return out\n",
    "\n",
    "x_hat1_rec = interp_rec(x_hat1,ta,t1,fs1)\n",
    "x_hat2_rec = interp_rec(x_hat2,ta,t2,fs2)\n",
    "x_hat3_rec = interp_rec(x_hat3,ta,t3,fs3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "5975bb4a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#Draw the original signal and the restored time-domain waveform of each sampled signal\n",
    "fig,ax = plt.subplots(4,1,constrained_layout=True)\n",
    "ax[0].plot(ta,xa);ax[1].plot(ta,x_hat1_rec)\n",
    "ax[2].plot(ta,x_hat2_rec);ax[3].plot(ta,x_hat3_rec)\n",
    "ax[0].set_title('原始信号,680Hz,900Hz,1000Hz采样后经过内插恢复的时域波形')\n",
    "ax[3].set_xlabel('t/s')\n",
    "plt.rcParams['font.sans-serif']=['SimHei']\n",
    "plt.rcParams['axes.unicode_minus'] = False \n",
    "fig.savefig('./samp_interp.png',dpi=500)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
